Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,384

Re: 5 Star Questions

#223. Solve the quadratic equation

#224. Find the values of A, B, C, and D if

.

#225. Simplify:

.

#226. If 2b = (a+c), show that the equation

has equal roots.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,384

Re: 5 Star Questions

#227. Let PS be the median of the trianglewith vertices P(2,2), Q(6,-1), and R(7,3). What is the equation of the line passing through (1,-1) and parallel to PS?

#228. If a circle is concentric with the circle x[sup]2[/sup]+y[sup]2[/sup]-4x-6y+9 = 0 and passes through the point (-4,-5), what is its equation?

#229. If e[sub]1[/sub] is the eccentricity of the ellipse

and if e[sub]2[/sub] is the eccentricity of he hyperbola

, then what is the value of

?

#230. What is the vertex of the parabola y[sup]2[/sup] = 5x+4y+1?

#231. If the angle between the lines joining the lines joining the foci of an ellipse to an extremity of the minor axis is 90°, what is the eccentricity of the ellipse?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,384

Re: 5 Star Questions

#232. The sum of the two roots of a quadratic equation is

. The sum of their squares is

. Find the quadratic equation.

#233. A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4, and 5 without repetition. What is the total number of different ways in which this can be done?

#234. What is the coefficient of x[sup]n[/sup] in

?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,384

Re: 5 Star Questions

#235. If n is a positive integer, prove that

.

#236. Show that

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,384

Re: 5 Star Questions

#237. If in an Arithmetic progression, the sum of p terms is equal to q and the sum of q terms is equal to p, prove that the sum of (p+q) terms is equal to
-(p+q).

#238. given

,
find

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 5 Star Questions

Last edited by bobbym (2009-07-16 15:53:37)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: 5 Star Questions

hi ganesh

#235

Last edited by anonimnystefy (2011-12-28 04:36:29)

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 5 Star Questions

Hi ganesh;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Denominator

Member

Registered: 2009-11-23

Posts: 220

Re: 5 Star Questions

Hey guys,

The ones I answered:

The rest are too hard for me XD

Last edited by Denominator (2012-03-23 07:51:21)

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